One embodiment of the invention includes a mixed-signal filter. The mixed-signal filter comprises an analog signal path configured to process a first analog signal and an analog-to-digital converter (ADC) configured to convert the processed first analog signal to a digital signal. The mixed-signal filter also comprises a programmable digital feedback filter configured to filter the digital signal and a digital-to-analog converter (DAC) configured to convert the filtered digital signal to a second analog signal. The mixed-signal filter further comprises a signal combiner configured to combine an analog input signal of the mixed-signal filter and the second analog signal to generate the first analog signal.